266784 has 48 divisors (see below), whose sum is σ = 802368. Its totient is φ = 76032.

The previous prime is 266767. The next prime is 266797. The reversal of 266784 is 487662.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 474 + ... + 870.

It is an arithmetic number, because the mean of its divisors is an integer number (16716).

2²⁶⁶⁷⁸⁴ is an apocalyptic number.

266784 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 266784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401184).

266784 is an abundant number, since it is smaller than the sum of its proper divisors (535584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

266784 is a wasteful number, since it uses less digits than its factorization.

266784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 409 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 266784 is about 516.5113745117. The cubic root of 266784 is about 64.3753979301.

The spelling of 266784 in words is "two hundred sixty-six thousand, seven hundred eighty-four".